Search a number
-
+
220507843100 = 225213769123293
BaseRepresentation
bin1100110101011101001…
…0101010101000011100
3210002011120102001111212
43031113102222220130
512103100001434400
6245144440203552
721634250512016
oct3152722525034
9702146361455
10220507843100
1185575a24266
123689b7695b8
1317a41c96a8c
14a95ba011b6
155b08aa7335
hex33574aaa1c

220507843100 has 72 divisors (see below), whose sum is σ = 482712989808. Its totient is φ = 87428851200.

The previous prime is 220507843093. The next prime is 220507843103. The reversal of 220507843100 is 1348705022.

220507843100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2205078431002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220507843103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9455054 + ... + 9478346.

Almost surely, 2220507843100 is an apocalyptic number.

220507843100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220507843100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241356494904).

220507843100 is an abundant number, since it is smaller than the sum of its proper divisors (262205146708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220507843100 is a wasteful number, since it uses less digits than its factorization.

220507843100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24135 (or 24128 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 220507843100 in words is "two hundred twenty billion, five hundred seven million, eight hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 685 691 1370 1382 2740 2764 3425 3455 6850 6910 13700 13820 17275 23293 34550 46586 69100 93172 94667 116465 189334 232930 378668 465860 473335 582325 946670 1164650 1893340 2329300 2366675 3191141 4733350 6382282 9466700 12764564 15955705 16095463 31911410 32190926 63822820 64381852 79778525 80477315 159557050 160954630 319114100 321909260 402386575 804773150 1609546300 2205078431 4410156862 8820313724 11025392155 22050784310 44101568620 55126960775 110253921550 220507843100